Existence and uniqueness of solution for a class of nonlinear fractional differential equations

摘要

In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results. MSC:26A33, 34A08.